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x in (-oo:+oo)
(1/2)*(x-7) < (1/3)*(2*x-1) // - (1/3)*(2*x-1)
(1/2)*(x-7)-((1/3)*(2*x-1)) < 0
(1/2)*(x-7)+(-1/3)*(2*x-1) < 0
1/2*(x-7)-1/3*(2*x-1) < 0
1/2*(x-7)-1/3*(2*x-1) < 0
-1/6*x-19/6 < 0
-1/6*x-19/6 < 0
-1/6*x-19/6 < 0 // + 19/6
-1/6*x < 19/6 // : -1/6
x > 19/6/(-1/6)
x > -19
(-oo:-19) (-19:+oo) -1/6*x-19/6 + -
x in (-19:+oo)
(-19:+oo)
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